OPEN-CONTENT SIGNAL PROCESSING LABORATORIES IN CONNEXIONS (2009)
Richard Baraniuk, Matthew Berry, Mark Butala O, Hyeokho Choi, Mark Ham, Douglas L. Jones, ...
Due to inherent factors such as a small and fragmented market and rapid hardware obsolescence, the conventional textbook is inadequate for DSP laboratory education. Freely available open-content...
• Universality Compressive Sampling Why Does It Work? (1) (2009)
Richard Baraniuk, Random Measurements
wideband signal samples
Lecture 5: A Single-Pixel Compressive Camera (2009)
dsp.rice.edu/cs Digital Revolution Pressure is on DSP • Success of digital data acquisition is placing increasing pressure on signal/image processing hardware and software to support higher...
Filter Design - Sidney Burrus Style (2009)
How Sidney Burrus would design an analog filter.
Community Driven Digital Signal Processing Laboratories (2009)
In Connexions, Richard Baraniuk, Hyeokho Choi, Douglas L. Jones, Lee Potter
The conventional textbook is largely inadequate for digital signal processing (DSP) laboratory education due to inherent factors such as a small and fragmented market and rapid hardware obsolescence....
FROM OPEN CONTENT REPOSITORIES TO OPEN SENSEMAKING COMMUNITIES (2009)
Richard Baraniuk, W. Joseph King, Christopher M. Kelty, Yochai Benkler, Andrew Roderick, ...
Conference Proceedings
Compressive Domain Interference Cancellation (2009)
Davenport, Mark A., Boufounos, Petros T., Baraniuk, Richard
In this paper we consider the scenario where a compressive sensing system acquires a signal of interest corrupted by an interfering signal. Under mild sparsity and orthogonality conditions on the...
Compressive Domain Interference Cancellation (2009)
Davenport, Mark A., Boufounos, Petros T., Baraniuk, Richard
In this paper we consider the scenario where a compressive sensing system acquires a signal of interest corrupted by an interfering signal. Under mild sparsity and orthogonality conditions on the...
Safari: A Scalable Architecture for Ad Hoc Networking and Services (2008)
Rudolf Riedi, Peter Druschel, Y. Charlie Hu, David B. Johnson, Richard Baraniuk
Within little more than a decade, digital information and the Internet have assumed a critical role in virtually all sectors of society, including education, commerce, science, government, and...
Baraniuk R.: Geometric Tools for Image Compression (2008)
Michael Wakin, Justin Romberg, Hyeokho Choi, Richard Baraniuk
Images typically contain strong geometric features, such as edges, that impose a structure on pixel values and wavelet coefficients. Modeling the joint coherent behavior of wavelet coefficients is...
ICASSP Connexions Tutorial (2008)
Catherine Schmidt-Jones, Douglas L. Jones, Richard Baraniuk
Companion module to the ICASSP 2008 tutorial on authoring in Connexions.
Geometry Compression of Normal Meshes Using Rate-Distortion Algorithms (2008)
L. Kobbelt, P. Schröder, Sridhar Lavu, Hyeokho Choi, Richard Baraniuk
We propose a new rate-distortion based algorithm for compressing 3D surface geometry represented using triangular normal meshes. We apply the Estimation-Quantization (EQ) algorithm to compress normal...
A network application programming interface for data processing in sensor networks (2008)
Raymond Wagner, J. Ryan Stinnett, Marco Duarte, Richard Baraniuk
Since the inception of sensor networks, a wide variety of algorithms for in-network data processing have emerged. To enable practical implementation of a broad class of these proposed algorithms,...
DISTRIBUTED MULTISCALE DATA ANALYSIS AND PROCESSING FOR SENSOR NETWORKS (2008)
Raymond Wagner, Shriram Sarvotham, Hyeokho Choi, Richard Baraniuk
While multiresolution data analysis, processing, and compression hold considerable promise for sensor network applications, progress has been confounded by two factors. First, typical sensor data are...
JPEG compression history estimation for color images (2008)
Ramesh Neelamani, Ricardo De Queiroz, Zhigang Fan, Richard Baraniuk
We routinely encounter digital color images that were previously JPEG-compressed. We aim to retrieve the various settings—termed JPEG compression history (CH)—employed during previous JPEG...
Veronique Delouille, Ramesh Neelamani, Richard Baraniuk
veroOrice.edu We propose a new iterative distributed algorithm for linear minimum mean-squared-error (LMMSE) estimation in sen-sor networks whose measurements follow a Gaussian hidden Markov...
Multiscale Approximation of Piecewise Smooth Two-Dimensional Functions using Normal (2008)
Triangulated Meshes, Maarten Jansen, Richard Baraniuk, Sridhar Lavu
Multiresolution triangulation meshes are widely used in computer graphics for representing three-dimensional (3-d) shapes. We propose to use these tools to represent 2-d piecewise smooth functions...
Project: T1E1.4: HDSL2 Standard Title: Optimal Transmit Spectra for HDSL2 T1E1.4/98-162R1 (2008)
Rohit Gaikwad, Richard Baraniuk
We present a general framework for designing optimal transmit spectra for the HDSL2 service. Using the channel and interference transfer functions and SNR estimates, we set up and solve an...
data by meshless multiscale (2008)
Richard Baraniuk, Albert Cohen, Raymond Wagner
compression of scattered
Analysis of Multiscale Texture Segmentation using Wavelet-Domain Hidden Markov Models (2008)
Hyeokho Choi, Brent Hendricks, Richard Baraniuk
Wavelet-domain Hidden Markov Tree (HMT) models are powerful tools for modeling the statistical properties of wavelet transforms. By characterizing the joint statistics of the wavelet coefficients,...
EDICS Number SP–2.3.1 Time-Frequency Signal Analysis (2008)
Martin Pasquier, Paulo Gonçalvès, Richard Baraniuk
We introduce a new method for the time-scale analysis of non-stationary signals. Our work leverages the success of the “time-frequency distribution series / cross-term deleted representations ”...
Imaging with Terahertz Pulses (2008)
Timothy Dorney, Jon Johnson, Daniel Mittleman, Richard Baraniuk
Recently, a real-time imaging system based on terahertz (THz) time-domain spectroscopy has been developed. This technique offers a range of unique imaging modalities due to the broad bandwidth,...
LOCALLY COMPETITIVE ALGORITHMS FOR SPARSE APPROXIMATION (2008)
Christopher Rozell, Don Johnson, Richard Baraniuk
Practical sparse approximation algorithms (particularly greedy algorithms) suffer two significant drawbacks: they are difficult to implement in hardware, and they are inefficient for time-varying...
Peak Frequency-domain, Power Constraint, Rohit Gaikwad, Richard Baraniuk
We present a technique for designing optimal transmit spectra for the HDSL2 service subject to a peak power constraint in the frequency domain. The peak power constraint might be imposed either due...
HYBRID LINEANQUADRATIC TIME-FREQUENCY ATTRIBUTES (2008)
We present an efficient method for robustly calculating time-frequency attributes of a signal, including instanta-neous mean frequency, bandwidth, and kurtosis. Most cur-rent approaches involve a...
Hybrid Linear / Bilinear Time-Scale Analysis (2008)
Martin Pasquier Ecole, Martin Pasquier, Paulo Gonçalvès, Richard Baraniuk
We introduce a new method for the time-scale analysis of non-stationary signals. Our work leverages the success of the "time-frequency distribution series / cross-term deleted...
Table of Common z-Transforms (2008)
Melissa Selik, Richard Baraniuk
Lists the z-transform and region of convergence (ROC) for several common discrete-time signals.
Rohit Gaikwad, Richard Baraniuk
We present a technique for designing optimal transmit spectra for the HDSL2 service subject to a peak power constraint in the frequency domain. The peak power constraint might be imposed either due...
T1E1.4/98-162 Project: T1E1.4: HDSL2 Standard Title: Optimal Transmit Spectra for HDSL2 (2007)
Rohit Gaikwad, Richard Baraniuk
We present a general framework for designing optimal transmit spectra for the HDSL2 service. Using the channel and interference transfer functions and SNR estimates, we set up and solve an...
Imaging with Terahertz Pulses (2007)
Timothy Dorney, Jon Johnson, Daniel Mittleman, Richard Baraniuk
Recently, a real-time imaging system based on terahertz (THz) time-domain spectroscopy has been developed. This technique offers a range of unique imaging modalities due to the broad bandwidth,...
Transmit Spectra Adaptive to Noise and Interference at Activation for HDSL2 (2007)
Authors Rohit, Rohit Gaikwad, Richard Baraniuk
We present several methods for implementing optimal HDSL2 transmit spectra that, at activation, adapt to the surrounding interference and noise. The methods are based around either a set of fixed...
Wavelet Statistical Models and Besov Spaces (2007)
Hyeokho Choi, Richard Baraniuk
We discover a new relationship between two seemingly different image modeling methodologies; the Besov space theory and the wavelet-domain statistical image models. Besov spaces characterize the set...
Optimal Transmit Spectra for HDSL2 under a Peak Frequency-Domain Power Constraint (2007)
Authors Rohit, Rohit Gaikwad, Richard Baraniuk
We present a technique for designing optimal transmit spectra for the HDSL2 service subject to a peak power constraint in the frequency domain. The peak power constraint might be imposed either due...
Optimal Transmit Spectra for HDSL2 (2007)
Rohit Gaikwad, Richard Baraniuk
We present a general framework for designing optimal transmit spectra for the HDSL2 service. Using the channel and interference transfer functions and SNR estimates, we set up and solve an...
Optimal Transmit Spectra for HDSL2 under a Peak Frequency-Domain Power Constraint (2007)
Rohit Gaikwad, Richard Baraniuk
We present a technique for designing optimal transmit spectra for the HDSL2 service subject to a peak power constraint in the frequency domain. The peak power constraint might be imposed either due...
Baraniuk R.: Geometric Tools for Image Compression (2007)
Michael Wakin, Justin Romberg, Hyeokho Choi, Richard Baraniuk
Images typically contain strong geometric features, such as edges, that impose a structure on pixel values and wavelet coefficients. Modeling the joint coherent behavior of wavelet coefficients is...
Image Compression using an Ecient Edge Cartoon + Texture Model (2007)
Michael Wakin, Justin Romberg, Hyeokho Choi, Richard Baraniuk
dsp.rice.edu Wavelet-based image coders optimally represent smooth regions and isolated point singularities. However, wavelet coders are less adept at representing perceptually important edge...
Estimation-Quantization Geometry Coding Using Normal Meshes (2007)
Sridhar Lavu, Hyeokho Choi, Richard Baraniuk
dsp.rice.edu We propose a new algorithm for compressing three-dimensional triangular mesh data used for representing surfaces. We apply the Estimation-Quantization (EQ) algorithm originally designed...
WInliD: Wavelet-based Inverse Halftoning (2007)
Via Deconvolution, Ramesh Neelamani, Robert Nowak, Richard Baraniuk
We propose the Wavelet-based Inverse Halftoning via Deconvolution (WInliD) algorithm to perform inverse halftoning of error-diffused halftones. WInliD is motivated by our realization that inverse...
OPEN-CONTENT SIGNAL PROCESSING LABORATORIES IN CONNEXIONS (2007)
Richard Baraniuk, Matthew Berry, Mark Butala, Hyeokho Choi, Mark Haun, Michael Kramer, ...
Due to inherent factors such as a small and fragmented market and rapid hardware obsolescence, the conventional textbook is inadequate for DSP laboratory education. Freely available open-content...
Patrice Abry, Richard Baraniuk, Patrick Fl, Rudolf Riedi, Darryl Veitch
The complexity and richness of telecommunications trac is such that one may despair to nd any regularity or explanatory principles. Nonetheless, the discovery of scaling behavior in tele-trac has...
Unoma Ndili, Robert Nowak, Richard Baraniuk, Hyeokho Choi
In this paper, a coding theoretic approach is presented for the unsupervised segmentation of SAR images. The approach implements Rissanen's concept of Minimum Description Length (MDL) for...
Analysis of Multiscale Texture Segmentation using Wavelet-Domain Hidden Markov Models (2007)
Hyeokho Choi, Brent Hendricks, Richard Baraniuk
Wavelet-domain Hidden Markov Tree (HMT) models are powerful tools for modeling the statistical properties of wavelet transforms. By characterizing the joint statistics of the wavelet coefficients,...
Adaptive Wavelet Transforms for Image Coding using Lifting (2007)
Roger Claypoole, Geoffrey Davis, Wim Sweldens, Richard Baraniuk
Image compression relies on efficient representations of images, and within smooth image regions, the wavelet transform provides such a representation. However, near edges, wavelet coefficients decay...
HYBRID LINEAR/QUADRATIC TIME-FREQUENCY ATTRIBUTES (2007)
We present an efficient method for robustly calculating time-frequency attributes of a signal, including instantaneous mean frequency, bandwidth, and kurtosis. Most current approaches involve a...
T1E1.498-258 Project: T1E1.4: HDSL2 Standard (2007)
Title Transmit Spectra, Rohit Gaikwad, Richard Baraniuk
We present several methods for implementing optimal HDSL2 transmit spectra that, at activation, adapt to the surrounding interference and noise. The methods are based around either a set of #xed...
This course deals with signals, systems, and transforms, from their theoretical mathematical foundations to practical implementation in circuits and computer algorithms. At the conclusion of ELEC...
Signal Classifications and Properties (2007)
Melissa Selik, Richard Baraniuk, Michael Haag
Describes various classifications of signals.
Melissa Selik, Richard Baraniuk
Explains the use of the unit impulse function.
CT Linear Systems and Differential Equations (2007)
Michael Haag, Richard Baraniuk
The module discusses how to represent linear, time-invariant systems.
This module will look at two signal operations, time shifting and time scaling. Signal operations are operations on the time variable of the signal. These operations are very common components to...
Approximation and Projections in Hilbert Space (2007)
This module introduces approximation and projections in Hilbert space.
Solving Linear Constant-Coefficient Difference Equations (2007)
A module concerning the concepts involved in solving linear constant-coefficient difference equations.
Properties of Convolution (2007)
Melissa Selik, Richard Baraniuk
Examples and definitions of the various properties associated with convolution are descrbied.
Convolution - Complete example (2007)
Anders Gjendemsjø, Richard Baraniuk
Shows a full example of convolution including math and figures.
Clasificación y Propiedades de los Sistemas (2007)
Melissa Selik, Richard Baraniuk
Descripción de varias clasificaciones de los sistemas.
Convergencia de Secuencias (2007)
Este módulo presentra una introducción a la convergencia y se enfocara en la secuencia, su comportamiento y sus aproximaciones al infinito.
A simple proof of the restricted isometry property for random matrices (2007)
Richard Baraniuk, Mark Davenport, Ronald Devore, Michael Wakin
We give a simple technique for verifying the Restricted Isometry Property (as introduced by Candès and Tao) for random matrices that underlies Compressed Sensing. Our approach has two main...
Compressive radar imaging (2007)
Abstract—We introduce a new approach to radar imaging based on the concept of compressive sensing (CS). In CS, a low-dimensional, nonadaptive, linear projection is used to acquire an efficient...
The Shannon/Nyquist sampling theorem tells us that in order to not lose information when uniformly sampling a signal we must sample at least two times faster than its bandwidth. In many applications,...
Lista de las cuatro transformadas de Fourier y cuando se usan.
Melissa Selik, Richard Baraniuk
Explica el uso de la función de impulso unitario.
Clasificación y Propiedades de las Señales (2006)
Melissa Selik, Richard Baraniuk, Michael Haag, Ricardo Von Borries
Descripción de varias clasificaciones de señales
Operaciones para Señales (2006)
1.3.2 En este modulo se estudiara dos operaciones usadas para señales, el Desplazamiento en el eje del Tiempo y Escala en el eje del Tiempo. Estas operaciones son operaciones realizadas en la...
Este curso trata acerca de señales, sistemas, y transformadas a partir de las bases matématicas y teoréticas hasta las implementaciones prácticas en circuitos y algoritmos. Al terminar ELEC 301,...
Éste es el primer capítulo de un curso que trata acerca de señales, sistemas, y transformadas a partir de las bases matématicas y teoréticas hasta las implementaciones prácticas en circuitos y...
Size of A Signal: Norms (2006)
A module concerning the size of a signal, more specifically norms.
Time Division Multiple Access (TDMA) (2006)
Briefly explains time division multiple access.
Relations: DFT and DTFT (2006)
An overview of the relationship between the DFT and the DTFT.
Continuous-Time Convolution (2006)
Melissa Selik, Richard Baraniuk
Defines convolution and derives the Convolution Integral.
Ricardo Radaelli-Sanchez, Richard Baraniuk
The Fourier Series is the representation of continuous-time, periodic signals in terms of complex exponentials. The Dirichlet conditions suggest that discontinuous signals may have a Fourier Series...
C. Sidney Burrus, Richard Baraniuk
The development of technologies for encoding, storing, communicating, and exploiting information is a major feature in the history of the human species. Although this development has generally...
Multiscale Traffic Processing Techniques for Network Inference and Control (2006)
Baraniuk, Richard, Riedi, Rudolf, Knightly, Edward, Nowak, Robert
This final report overviews Rice University's accomplishments in the project Multiscale Traffic Processing Techniques for Network Inference and Control in the Defense Advanced Research Projects...
Analog-to-information conversion via random demodulation (2006)
Sami Kirolos, Jason Laska, Michael Wakin, Marco Duarte, Dror Baron, Tamer Ragheb, ...
Abstract — Many problems in radar and communication signal processing involve radio frequency (RF) signals of very high bandwidth. This presents a serious challenge to systems that might attempt to...
Raymond Wagner, Marco Duarte, J. Ryan Stinnett, David B. Johnson, Richard Baraniuk
In [105], we present the design of a sensor network application programming interface (API) to cover the common communication requirements of data processing applications in sensor networks,...
Analog-to-information conversion via random demodulation (2006)
Sami Kirolos, Jason Laska, Michael Wakin, Marco Duarte, Dror Baron, Tamer Ragheb, ...
Abstract — Many problems in radar and communication signal processing involve radio frequency (RF) signals of very high bandwidth. This presents a serious challenge to systems that might attempt to...
Propiedades de la Transformada de Laplace (2005)
Melissa Selik, Richard Baraniuk
Tabla de señales, transformada de Laplace, y región de convergencia para propiedades severas.
Convolución de Tiempo-Continuo (2005)
Melissa Selik, Richard Baraniuk
Definir la convolución y obtener la Integral de Convolución.
Propiedades de la Convolución (2005)
Melissa Selik, Richard Baraniuk
Ejemplos y definiciones de varias propiedades asociadas con la convolución son descritas.
Explica las estabilidad de entrada acotada, salida acotada.
Ricardo Radaelli-Sanchez, Richard Baraniuk
Convolución es un concepto que se extiende a todos los sistemas que son lineales e invariantes en el tiempo (LTI). Se convertira aparente en esta discucion que esta condicion es necesaria para...
Propiedades de la Transformada de Fourier de Tiempo-Continuo (2005)
Melissa Selik, Richard Baraniuk
Se nombran algunas de las propiedades de la Transformada de Fourier de Tiempo-Continuo.
Tabla de Transformadas-Z Comunes (2005)
Melissa Selik, Richard Baraniuk
Lista transformadas-z y ROC para varias señales discretas.
Tabla de Transformadas de Laplace Comunes (2005)
Melissa Selik, Richard Baraniuk
Lista señales y ROC para varias transformadas de Laplace.
Región de Convergencia para la Transformada de Laplace (2005)
Explica como encontrar la ROC para sistemas LTI.
Transformada de Fourier de Tiempo Continuo (CTFT) (2005)
Richard Baraniuk, Melissa Selik
Detalles de la la transformada de Fourier de Tiempo-Continuo.
Convergencia Uniforme de Secuencias de Funciones. (2005)
Michael Haag, Richard Baraniuk
Otra forma de convergencia, convergencia uniforme es definida y descrita en este modulo. También se muestra su relación con la convergencia puntual.
Ricardo Radaelli-Sanchez, Richard Baraniuk
Las series de Fourier es la representación de señales periódicas en términos de exponenciales complejos. La condición de Dirichlet sugiere que las señales discontinuas pueden tener una...
Describes the design of analog lowpass Butterworth filters.
Justin Romberg, Richard Baraniuk, Michael Haag
Solutions to Homework #1 for Rice University's Elec301.
Continuous-Time Fourier Series (CTFS) (2005)
Details the Continuous-Time Fourier Series.
Cover page for Rice University's Signals and Systems course (Elec301).
Richard Baraniuk, Justin Romberg
Homework 1 problem set for Elec301 at Rice University.
Richard Baraniuk, Ricardo Radaelli-Sanchez, Brent Hendricks
Connexions is an experimental course publishing philosophy and methodology that directly exploits modern information technology. Our environment rests on four fundamental concepts; they are not...
Discrete-Time Fourier Transform (DTFT) (2005)
Details the discrete-time fourier transform.
Uniform Convergence of Function Sequences (2005)
Michael Haag, Richard Baraniuk
Another form of convergence, uniform convergence, is defined and described in this module. Also, its relationship to pointwise convergence is also shown.
Convergence of Sequences (2005)
This module will present an introduction into convergence and focus on what a sequence is and how it behaves as it approaches infinity.
Region of Convergence for the Laplace Transform (2005)
Explains how to find the region of convergence for continuous-time linear time-invariant systems.
Table of Common Laplace Transforms (2005)
Melissa Selik, Richard Baraniuk
Lists signal and region of convergence for several Laplace transforms.
System Classifications and Properties (2005)
Melissa Selik, Richard Baraniuk
Describes various classifications of systems.
Discrete-Time Convolution (2005)
Ricardo Radaelli-Sanchez, Richard Baraniuk
Convolution is a concept that extends to all systems that are both linear and time-invariant (LTI). It will become apparent in this discussion that this condition is necessary by demonstrating how...
Continuous-Time Fourier Transform (CTFT) (2005)
Richard Baraniuk, Melissa Selik
Details the Continuous-Time Fourier Transform.
Properties of the Laplace Transform (2005)
Melissa Selik, Richard Baraniuk
A table of signals, Laplace transforms, and regions of convergence for several properties.
Preface: Signals and Systems - DFT First (2005)
This module overviews the course Elec 301 - Signals and Systems - as taught at Rice University in Fall 2003.
Why is Convolution Useful? (2005)
A module concerning the usefulness of convolution.
DT Signals and Systems in the Frequency Domain (2005)
Eigenfunctions and eigenvalues of an LTI system.
Circular Convolution and Zeropadding (2005)
Introduction to circular convolution with zeropadding.
Properties of LSI Impulse Response (2005)
An overview of the properties of LSI impulse responses.
A multiscale data representation for distributed sensor networks (2005)
Raymond Wagner, Shriram Sarvotham, Richard Baraniuk
Though several wavelet-based compression solutions for wireless sensor network measurements have been proposed, no such technique has yet appreciated the need to couple a wavelet transform tolerant...
Distributed Wavelet Transform for Irregular Sensor Network Grids (2005)
Raymond Wagner, Hyeokho Choi, Richard Baraniuk
Wavelet-based distributed data processing holds much promise for sensor networks; however, irregular sensor node placement precludes the direct application of standard wavelet techniques. In this...
A multiscale data representation for distributed sensor networks (2005)
Shriram Sarvotham, Raymond Wagner, Richard Baraniuk
1. Characterization of the scaling and wavelet functions Consider the vector m of N sensor measurements given by m = [m1, m2,..., mN] The sensors are irregularly spaced on a 2D grid. We assume that...
TCP-Africa: An Adaptive and Fair Rapid Increase Rule for Scalable TCP (2005)
Ryan King, Richard Baraniuk, Rudolf Riedi
Abstract — High capacity data transfers over the Internet routinely fail to meet end-to-end performance expectations. The default transport control protocol for best effort data traffic is...
You Are Cleared for Access... (2004)
Scott Harrison, Jeremy Beasley, Brent Carroll, Richard Baraniuk
This module refers to all of our results, problems we had, and conclusions we have made. Also included are acknowledgements.
Optimization of Image Recognition: Fingerprint Matching (2004)
Scott Harrison, Brent Carroll, Jeremy Beasley, Richard Baraniuk
This is an Elec 301 end-of-year project. It involves the optimization of fingerprint recognition through different procedures such as convolution and matched filtering. Also included are the...
Classification of Images (2004)
Scott Harrison, Jeremy Beasley, Brent Carroll, Richard Baraniuk
This is our group's scheme for classifying both our database and scanned library of fingerprint images. We discuss both signal processing methods and physical classification methods.
Properties of the Continuous-Time Fourier Transform (2004)
Melissa Selik, Richard Baraniuk
Lists some properties of the Continuous Time Fourier Transform.
Signal Energy vs. Signal Power (2004)
Melissa Selik, Richard Baraniuk, Adam Blair
Defines energy and power as ways to measure a signal.
Table of Common Fourier Transforms (2004)
Melissa Selik, Richard Baraniuk
Lists time domain signal, frequency domain signal, and condition for twentytwo Fourier transforms.
Sifting Properties of Delta (2004)
A module concerning the sifting properties of delta.
Infinite Length DT Signals (2004)
In this section, you will learn about Infinite Length DT Signals.
Matrix Interpretation of Convolution (2004)
In this section, you will learn about Matrix Interpretation of Convolution.
Computing Eigenvectors and Eigenvalues (2004)
An overview of the concepts behind computing eigenvectors and eigenvalues.
Graphical Understanding of Convolution (2004)
An module concerning the graphical understanding of convolution.
Properties of Convolution (2004)
A module concerning the properties of convolution.
LSI Systems and Convolution (2004)
In this section, you will learn about LSI Systems and Convolution.
Graphical Convolution Algorithm (2004)
This module discusses the Graphical Convolution Algorithm with the help of examples.
Continuous-Time Fourier Transform (2004)
Introduction to the continuous-time Fourier Transform.
Relation Between CTFS and CTFT (2004)
An overview of the relationship between CTFS and CTFT.
Convergence of FS II: Gibb's Phenomena (2004)
An overview of the convergence of the FS in the case of Gibb's phenomena.
Symmetry Properties of the Fourier Series (2004)
An introduction to the symmetry properties of the Fourier Series.
Convergence of FS I: Dirichlet Conditions (2004)
An overview of the concepts behind the convergence of the Fourier series, specifically Dirichlet conditions.
Linear Constant-Coefficient Difference Equations (2004)
A module concering the concepts of linear constant-coefficient difference equations.
Summary: Finite-Length DT LSI Systems (2004)
A summary of the concepts concerning finite-length DT LSI systems.
Summary of Fourier Representations (2004)
A summary of the fourier representations used in ELEC 301.
Impulse Response Properties of an LTI System (2004)
An introduction to the impulse response properties of an LTI system.
The Impulse/Dirac Distribution (2004)
An overview of the concepts behind the Impulse/Dirac Distribution.
Magnitude and Phase of Frequency Response (2004)
An overview of the concepts behind the magnitude and phase of frequency response of LSI systems.
This module is an overview of concepts behind fast convolution of LSI systems.
This module is an overview of inverse filters in LSI systems.
Discrete Time Fourier Transform (2004)
Fourier representation for infinite-length, finite-energy, discrete-time signals.
Plancharel and Parseval in CT Fourier Series (2004)
An introduction to to Plancharel and Parseval in CT Fourier series.
Properties of Circular Convolution (2004)
An introduction to the properties of circular convolution.
Summary of Finite-Length DT LSI Systems (2004)
A summary of finite-length DT LSI systems.
Frequency Response of an LSI System (2004)
An introduction to the frequency response of an LSI system.
Impulse Response of an LTI System (2004)
An introduction to the impulse response of an LTI system.
Eigenvectors and Eigenvalues (2004)
An introduction to eigenvalues and eigenvectors.
Eigenvectors form an ONB (2004)
Shows the concepts behind eigenvectors forming an ONB.
Why Eigenstuff Matters in DSP (2004)
An explaination as to why eigenstuff matters in DSP
Parseval and Plancharel's Theorems in CTFT (2004)
Parseval and Plancharel's Theorems in CTFT.
Impulse Response of a Linear System (2004)
Introduction to the impulse response of a linear system.
Anders Gjendemsjø, Melissa Selik, Richard Baraniuk
Energy and power for analog and discrete time signals
ECE 301 Projects Fall 2003 (2004)
Mark Husband, Adan Galvan, Charlet Reedstrom, Richard Baraniuk
Team Projects created for the ECE 301, Fall 2003.
Anders Gjendemsjø, Richard Baraniuk
Introduces convolution for analog signals.
Forward: Fourier-wavelet regularized deconvolution for ill-conditioned systems (2004)
Ramesh Neelamani, Hyeokho Choi, Richard Baraniuk
We propose an efficient, hybrid Fourier-Wavelet Regularized Deconvolution (ForWaRD) al-gorithm that performs noise regularization via scalar shrinkage in both the Fourier and wavelet domains. The...
Forward: Fourier-wavelet regularized deconvolution for ill-conditioned systems (2004)
Ramesh Neelamani, Hyeokho Choi, Richard Baraniuk
Abstract—We propose an efficient, hybrid Fourier-wavelet regularized deconvolution (ForWaRD) algorithm that performs noise regularization via scalar shrinkage in both the Fourier and wavelet...
Signals, Systems, and Transforms (under construction) (2003)
This version of Rice University Elec 301 - Signals, Systems, and Transforms - is under active development in Fall 2003.
Continuous-Time Convolution plus VI (2003)
Prashant Singh, Richard Baraniuk
The module will introduce the convolution integral and how it can be used as a powerful tool in determining a system's output.
Orthogonal Hilbert transform filter banks and wavelets (2003)
Van Spaendonck, Rutger, Blu, Thierry, Baraniuk, Richard, Vetterli, Martin
A Geometric Hidden Markov Tree Wavelet Model (2003)
Justin Romberg, Michael Wakin, Hyeokho Choi, Richard Baraniuk
In the last few years, it has become apparent that traditional wavelet-based image processing algorithms and models have significant shortcomings in their treatment of edge contours. The standard...
Geometric methods for wavelet-based image compression (2003)
Michael Wakin, Justin Romberg, Hyeokho Choi, Richard Baraniuk
Natural images can be viewed as combinations of smooth regions, textures, and geometry. Wavelet-based image coders, such as the space-frequency quantization (SFQ) algorithm, provide reasonably...
Multiscale Approximation of Piecewise Smooth Two-Dimensional Functions (2003)
Maarten Jansen, Richard Baraniuk, Sridhar Lavu, Maarten Jansen, ...
Wavelet and Multiscale Analysis of Network Traffic (2002)
Abry, Patrice, Baraniuk, Richard, Flandrin, Patrick, Riedi, Rudolf, Veitch, Darryl
The complexity and richness of telecommunications traffic is such that one may despair to find any regularity or explanatory principles. Nonetheless, the discovery of scaling behaviour in...
Wavelet and Multiscale Analysis of Network Traffic (2002)
Abry, Patrice, Baraniuk, Richard, Flandrin, Patrick, Riedi, Rudolf, Veitch, Darryl
The complexity and richness of telecommunications traffic is such that one may despair to find any regularity or explanatory principles. Nonetheless, the discovery of scaling behaviour in...
Rate-distortion optimized image compression using wedgelets (2002)
Michael Wakin, Justin Romberg, Hyeokho Choi, Richard Baraniuk
Most wavelet-based image coders fail to model the joint coherent behavior of wavelet coefficients near edges. Wedgelets offer a convenient parameterization for the edges in an image, but they have...
Rate-distortion optimized image compression using wedgelets (2002)
Michael Wakin, Justin Romberg, Hyeokho Choi, Richard Baraniuk
Most wavelet-based image coders fail to model the joint coherent behavior of wavelet coefficients near edges. Wedgelets offer a convenient parameterization for the edges in an image, but they have...
Multiscale wedgelet image analysis: fast decompositions and modeling (2002)
Justin K. Romberg, Michael Wakin, Richard Baraniuk
The most perceptually important features in images are geometrical, the most prevalent being the smooth contours ("edges") that separate different homogeneous regions and delineate...
Multiscale wedgelet image analysis: fast decompositions and modeling (2002)
Justin K. Romberg, Michael Wakin, Richard Baraniuk
The most perceptually important features in images are geometrical, the most prevalent being the smooth contours (“edges”) that separate different homogeneous regions and delineate distinct...
Multiscale image processing using normal triangulated meshes (2001)
Maarten Jansen, Hyeokho Choi, Sridhar Lavu, Richard Baraniuk
Multiresolution triangulation meshes are widely used in computer graphics for 3-d modeling of shapes. We propose an image representation and processing framework using a multiscale triangulation of...
Connection-level Analysis and Modeling of Network Traffic (2001)
Shriram Sarvotham, Rudolf Riedi, Richard Baraniuk
Abstract--- Most network traffic analysis and modeling studies lump all connections together into a single flow. Such aggregate traffic typically exhibits long-range-dependent (LRD) correlations and...
Connection-level Analysis and Modeling of Network Traffic (2001)
Shriram Sarvotham, Rudolf Riedi, Richard Baraniuk
Most network traffic analysis and modeling studies lump all connections together into a single flow. Such aggregate traffic typically exhibits long-range-dependent (LRD) correlations and non-Gaussian...
Connection-level Analysis and Modeling of Network Traffic (2001)
Shriram Sarvotham, Rudolf Riedi, Richard Baraniuk
Abstract — Most network traffic analysis and modeling studies lump all connections together into a single flow. Such aggregate traffic typically exhibits long-range-dependent (LRD) correlations and...
Multiscale document segmentation using wavelet-domain hidden Markov models (2000)
Hyeokho Choi, Richard Baraniuk
We introduce a new document image segmentation algorithm, HMTseg, based on wavelets and the hidden Markov tree (HMT) model. The HMT is a tree-structured probabilistic graph that captures the...
Multiscale image segmentation using joint texture and shape analysis (2000)
Ramesh Neelamani, Justin Romberg, Hyeokho Choi, Rudolf Riedi, Richard Baraniuk
We develop a general framework to simultaneously exploit texture and shape characterization in multiscale image segmentation. By posing multiscale segmentation as a model selection problem, we invoke...
Multifractal cross-traffic estimation (2000)
Vinay Ribeiro, Mark Coates, Rudolf Riedi, Shriram Sarvotham, Brent Hendricks, Richard Baraniuk
In this paper we develop a novel model-based technique, the Delphi algorithm, for inferring the instantaneous volume of competing cross-traffic across an end-to-end path. By using only end-to-end...
Edge localized image sharpening via reassignment with application to computer tomography (2000)
Timothy Dorney, Srikrishna Bhashyam, Andrew Doran, Hyeokho Choi, Patrick Fl, Richard Baraniuk
Traditional filtering methods operate on the entire signal or image. In some applications, however, errors are concentrated in specific regions or features. A prime example is images generated using...
Model-Based Inverse Halftoning With Wavelet-Vaguelette Deconvolution (2000)
Ramesh Neelamani, Robert Nowak, Richard Baraniuk
In this paper, we demonstrate based on the linear model of [1, 2] that inverse halftoning is equivalent to the well-studied problem of deconvolution in the presence of colored noise. We propose the...
Edge Localized Image Sharpening via Reassignment with Application to Computed Tomography (2000)
Timothy Dorney Srikrishna, Timothy Dorney, Srikrishna Bhashyam, Andrew Doran, Hyeokho Choi, Patrick Flandrin, ...
Traditional filtering methods operate on the entire signal or image. In some applications, however, errors are concentrated in specific regions or features. A prime example is images generated using...
Information-theoretic Interpretation of Besov Spaces (2000)
Hyeokho Choi, Richard Baraniuk
Besov spaces classify signals and images through the Besov norm, which is based on a deterministic smoothness measurement. Recently, we revealed the relationship between the Besov norm and the...
Multiscale Image Segmentation Using Joint Texture and Shape Analysis (2000)
Ramesh Neelamani, Justin Romberg, Hyeokho Choi, Rudolf Riedi, Richard Baraniuk
We develop a general framework to simultaneously exploit texture and shape characterization in multiscale image segmentation. By posing multiscale segmentation as a model selection problem, we invoke...
Hidden Markov Tree Modeling Of Complex Wavelet Transforms (2000)
Hyeokho Choi Justin, Justin Romberg, Richard Baraniuk
Multiresolution signal and image models such as the hidden Markov tree aim to capture the statistical structure of smooth and singular (edgy) regions. Unfortunately, models based on the orthogonal...
Hidden Markov Tree modeling of Complex Wavelet Transforms (2000)
Hyeokho Choi, Justin Romberg, Richard Baraniuk
Multiresolution signal and image models such as the hidden Markov tree aim to capture the statistical structure of smooth and singular (edgy) regions. Unfortunately, models based on the orthogonal...
Edge localized image sharpening via reassignment with application to computer tomography (2000)
Timothy Dorney, Srikrishna Bhashyam, Andrew Doran, Hyeokho Choi, Patrick Fl, Richard Baraniuk
Traditional filtering methods operate on the entire signal or image. In some applications, however, errors are concentrated in specific regions or features. A prime example is images generated using...
Model-based inverse halftoning with Wavelet-Vaguelette Deconvolution (2000)
Ramesh Neelamani, Robert Nowak, Richard Baraniuk
In this paper, we demonstrate based on the linear model of [1, 2] that inverse halftoning is equivalent to the well-studied problem of deconvolution in the presence of colored noise. We propose the...
Wavelet-domain regularized deconvolution for ill-conditioned systems (1999)
Ramesh Neelamani, Hyeokho Choi, Richard Baraniuk
ABSTRACT by 0. In the discrete Fourier transform (DFT) domain, We propose a hybrid approach to wavelet-based im-age deconvolution that comprises Fourier-domain system inversion followed by...
Image segmentation using wavelet-domain classification (1999)
Hyeokho Choi, Richard Baraniuk
We introduce a new image texture segmentation algorithm, HMTseg, based on wavelet-domain hidden Markov tree (HMT) models. The HMT model is a tree-structured probabilistic graph that captures the...
Adaptive Wavelet Transforms via Lifting (1999)
Roger Claypoole, Richard Baraniuk, Robert Nowak
This paper develops new algorithms for adapted multiscale analysis and signal adaptive wavelet transforms. We construct our adaptive transforms with the lifting scheme, which decomposes the wavelet...
Optimal Tree Approximation with Wavelets (1999)
The more a priori knowledge we encode into a signal processing algorithm, the better performance we can expect. In this paper, we overview several approaches to capturing the structure of...
Wavelet-Domain Regularized Deconvolution For Ill-Conditioned Systems (1999)
Ramesh Neelamani, Hyeokho Choi, Richard Baraniuk
We propose a hybrid approach to wavelet-based image deconvolution that comprises Fourier-domain system inversion followed by wavelet-domain noise suppression. In contrast to conventional...
Multiple Basis Wavelet Denoising Using Besov Projections (1999)
Hyeokho Choi, Richard Baraniuk
Wavelet-based image denoising algorithm depends upon the energy compaction property of wavelet transforms. However, for many real-world images, we cannot expect good energy compaction in a single...
Wavelet-Based Deconvolution for Ill-Conditioned Systems (1999)
Ramesh Neelamani, Hyeokho Choi, Richard Baraniuk, Corresponding Ramesh Neelamani
| We propose a hybrid approach to wavelet-based deconvolution that comprises Fourier-domain system inversion followed by wavelet-domain noise suppression. In contrast to other wavelet-based...
Wavelet-Based Deconvolution Using Optimally Regularized Inversion for Ill-Conditioned Systems (1999)
Ramesh Neelamani, Hyeokho Choi, Richard Baraniuk
We propose a hybrid approach to wavelet-based deconvolution that comprises Fourier-domain system inversion followed by wavelet-domain noise suppression. In contrast to conventional wavelet-based...
Wavelet-Based Deconvolution For Ill-Conditioned Systems (1999)
Ramesh Neelamani, Hyeokho Choi, Richard Baraniuk
In this paper, we propose a new approach to wavelet-based deconvolution. Roughly speaking, the algorithm comprises Fourierdomain system inversion followed by wavelet-domain noise suppression. Our...
Interpolation And Denoising Of Nonuniformly Sampled Data Using Wavelet-Domain Processing (1999)
Hyeokho Choi, Richard Baraniuk
In this paper, we link concepts from nonuniform sampling, smoothness function spaces, interpolation, and denoising to derive a suite of multiscale, maximum-smoothness interpolation algorithms. We...
Interpolation and denoising of nonuniformly sampled data using wavelet domain processing (1999)
Hyeokho Choi, Richard Baraniuk
In this paper, we link concepts from nonuniform sampling, smoothness function spaces, interpolation, and denoising to derive a suite of multiscale, maximum-smoothness interpolation algorithms. We...
Wavelet-based deconvolution for ill-conditioned systems (1999)
Ramesh Neelamani, Hyeokho Choi, Richard Baraniuk
In this paper, we propose a new approach to wavelet-based deconvolution. Roughly speaking, the algorithm comprises Fourierdomain system inversion followed by wavelet-domain noise suppression. Our...
Real Time Wavelet-Based ATR Project (1998)
The focus of the project was to develop advanced Automatic Target Recognition (ATR) algorithms to interface with the existing ATR technology at NGC. As outlined in the project proposal, the specific...
Rohit Gaikwad, Rohit Gaikwad, Richard Baraniuk, Richard Baraniuk
We have invented a new modem technology for transmitting data on conventional telephone lines (twisted pairs) at high speeds. This discovery is timely, as new standards are being developed for this...
A Simple Statistical Analysis of Wavelet-based Multifractal Spectrum Estimation (1998)
Paulo Goncalves, Rudolf Riedi, Richard Baraniuk
The multifractal spectrum characterizes the scaling and singularity structures of signals and proves useful in numerous applications, from network traffic analysis to turbulence. Of great concern is...
Wavelet-Based Statistical Signal Processing Using Hidden Markov Models (1998)
Matthew Crouse, Robert Nowak, Richard Baraniuk
Wavelet-based statistical signal processing techniques such as denoising and detection typically model the wavelet coefficients as independent or jointly Gaussian. These models are unrealistic for...
A Simple Statistical Analysis of Wavelet-based Multifractal Spectrum Estimation (1998)
Paulo Goncalves, Rudolf Riedi, Richard Baraniuk
The multifractal spectrum characterizes the scaling and singularity structures of signals and proves useful in numerous applications, from network traffic analysis to turbulence. Of great concern is...
Multiscale Texture Segmentation using Wavelet-Domain Hidden Markov Models (1998)
Hyeokho Choi, Richard Baraniuk
Wavelet-domain Hidden Markov Tree (HMT) models are powerful tools for modeling the statistical properties of wavelet transforms. By characterizing the joint statistics of the wavelet coefficients,...
Analysis Of Wavelet-Domain Wiener Filters (1998)
Hyeokho Choi, Richard Baraniuk
We investigate Wiener filtering of wavelet coefficients for signal denoising. Empirically designed wavelet-domain Wiener filters have superior performance over other denoising algorithms using...
Optimal Transmit Spectra for HDSL2 under a Peak Frequency-Domain Power Constraint (1998)
Rohit Gaikwad, Richard Baraniuk
We present a technique for designing optimal transmit spectra for the HDSL2 service subject to a peak power constraint in the frequency domain. The peak power constraint might be imposed either due...
A Simple Statistical Analysis of Wavelet-based Multifractal Spectrum Estimation (1998)
Paulo Gonçalves, Rudolf Riedi, Richard Baraniuk
The multifractal spectrum characterizes the scaling and singularity structures of signals and proves useful in numerous applications, from network traffic analysis to turbulence. Of great concern is...
Rohit Gaikwad, Richard Baraniuk
1 Spectral optimization and joint signaling techniques for communication in the presence of crosstalk Rohit Gaikwad and Richard Baraniuk y We have invented a new modem technology for transmitting...
Analysis of wavelet domain Wiener filters (1998)
Hyeokho Choi, Richard Baraniuk
We investigate Wiener filtering of wavelet coefficients for signal denoising. Empirically designed wavelet-domain Wiener filters have superior performance over other denoising algorithms using...
Rohit Gaikwad, Rohit Gaikwad, Richard Baraniuk, Richard Baraniuk
1 Spectral optimization and joint signaling techniques for communication in the presence of crosstalk
Nonlinear Wavelet Transforms for Image Coding (1997)
Roger Claypoole, Geoffrey Davis, Wim Sweldens, Richard Baraniuk
We examine the central issues of invertibility, stability, artifacts, and frequency-domain characteristics in the construction of non-linear analogs of the wavelet transform. The lifting framework...
Nonlinear Wavelet Transforms For Image Coding (1997)
Roger Claypoole, Geoffrey Davis, WIM SWELDENS, Richard Baraniuk
. We examine the central issues of invertibility, stability, artifacts, and frequencydomain characteristics in the construction of non-linear analogs of the wavelet transform. The lifting framework...
Multiple Window Time-Varying Spectrum Estimation (1996)
Metin Bayram, Richard Baraniuk
this paper, we focus on estimating the WVS of mixed stochastic /deterministic signals of the form
Beyond Time-Frequency Analysis: Energy Densities In One And Many Dimensions (1994)
Given a unitary operator A representing a physical quantity of interest, we employ concepts from group representation theory to define two natural signal energy densities for A. The first is...
Information and complexity on the time-frequency plane (1993)
BARANIUK, Richard, FLANDRIN, Patrick, MICHEL, Olivier
Il est possible d'envisager beaucoup de mesures temps-fréquence pour chiffrer l'information contenue dans un signal ou sa complexité. Celles-ci incluent par exemple des extensions de la notion de...
Warped Wavelet Bases: Unitary Equivalence And Signal Processing (1993)
Richard Baraniuk, Douglas L. Jones
The notions of time, frequency, and scale are generalized using concepts from unitary operator theory and applied to timefrequency analysis, in particular the wavelet and short-time Fourier transform...